单畴粒子大集合的粒子磁化动力学的模拟框架：磁粒子成像中Brown/Néel动力学和参数识别问题的数值处理
A simulation framework for particle magnetization dynamics of large ensembles of single domain particles: Numerical treatment of Brown/Néel dynamics and parameter identification problems in magnetic particle imaging
摘要：
磁性纳米颗粒及其磁化动力学在许多应用中起着重要作用。我们专注于磁化动力学的单域纳米粒子的大合奏的特征在于无论是布朗或Néel旋转机制。通过求解球上的对流扩散方程，得到了相应的行为的模拟，为此开发和研究了一个统一的计算框架。这为解决两个参数识别问题奠定了基础，这两个参数识别问题是在所选应用程序（磁性粒子成像）的背景下制定的。的计算框架的功能说明了数值结果的参数识别问题，无论是定量或定性的测量数据。
英文摘要：
Magnetic nanoparticles and their magnetization dynamics play an important role in many applications. We focus on magnetization dynamics in large ensembles of single domain nanoparticles being characterized by either Brownian or Néel rotation mechanisms. Simulations of the respective behavior are obtained by solving advection-diffusion equations on the sphere, for which a unified computational framework is developed and investigated. This builds the basis for solving two parameter identification problems, which are formulated in the context of the chosen application, magnetic particle imaging. The functionality of the computational framework is illustrated by numerical results in the parameter identification problems either compared quantitatively or qualitatively to measured data.
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